90342342133041 has 64 divisors (see below), whose sum is σ = 124246047744000. Its totient is φ = 58371254726400.

The previous prime is 90342342133031. The next prime is 90342342133061. The reversal of 90342342133041 is 14033124324309.

It is not a de Polignac number, because 90342342133041 - 2¹³ = 90342342124849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90342342133031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1575334330 + ... + 1575391676.

It is an arithmetic number, because the mean of its divisors is an integer number (1941344496000).

Almost surely, 2^{90342342133041} is an apocalyptic number.

It is an amenable number.

90342342133041 is a deficient number, since it is larger than the sum of its proper divisors (33903705610959).

90342342133041 is a wasteful number, since it uses less digits than its factorization.

90342342133041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58030.

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 90342342133041 in words is "ninety trillion, three hundred forty-two billion, three hundred forty-two million, one hundred thirty-three thousand, forty-one".